Results 11 to 20 of about 7,542 (104)
Birational automorphisms of a three-dimensional double quadric with an elementary singularity [PDF]
Sbornik: Mathematics, 1998 It is proved that the group of birational automorphisms of a three-dimensional double quadric with a singular point arising from a double point on the branch divisor is a semidirect product of the free group generated by birational involutions of a ...
A. V. Pukhlikov +9 more
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Birational automorphisms of quartic Hessian surfaces [PDF]
Transactions of the American Mathematical Society, 2002 We find generators of the group of birational automorphisms of the Hessian surface of a general cubic surface. Its nonsingular minimal model is a K3 surface with the Picard lattice of rank 16. The latter embeds naturally in the even unimodular lattice $II^{1,25}$ of rank 26 and signature $(1,25)$ as the orthogonal complement of a root sublattice of ...
Dolgachev, Igor, Keum, JongHae
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Birational automorphisms of Severi-Brauer surfaces [PDF]
Sbornik: Mathematics, 2020 Abstract We prove that a finite group acting by birational automorphisms of a nontrivial Severi-Brauer surface over a field of characteristic zero contains a normal abelian subgroup of index at most
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Birational automorphism groups and differential equations [PDF]
Nagoya Mathematical Journal, 1990 Painlevé studied the differential equations y″ = R(y′ y, x) without moving critical point, where R is a rational function of y′ y, x. Most of them are integrated by the so far known functions. There are 6 equations called Painlevé’s equations which seem to be irreducible or seem to define new transcendental functions. The simplest one among them is y″ =
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On birational automorphisms of Severi-Brauer surfaces
Communications in Mathematics, 2022 The generators of the group of birational automorphisms of any Severi-Brauer surface non-isomorphic over an algebraically non-closed field to the projective plane are explicitly described.
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Higher index Fano varieties with finitely many birational automorphisms
Compositio Mathematica, 2022 A famous problem in birational geometry is to determine when the birational automorphism group of a Fano variety is finite. The Noether–Fano method has been the main approach to this problem. The purpose of this paper is to give a new approach to the problem by showing that in every positive characteristic, there are Fano varieties of arbitrarily large
Chen, Nathan, Stapleton, David
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Fano hypersurfaces with no finite order birational automorphisms
, 2022 10 ...
Chen, Nathan, Ji, Lena, Stapleton, David
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Geometrically rational real conic bundles and very transitive actions [PDF]
, 2009 In this article we study the transitivity of the group of automorphisms of real algebraic surfaces. We characterize real algebraic surfaces with very transitive automorphism groups.
Biswas +8 more
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Algebraic tori in the complement of quartic surfaces
Journal of the London Mathematical Society, Volume 113, Issue 1, January 2026.Abstract Let B⊂P3$B\subset \mathbb {P}^3$ be an slc quartic surface. The existence of an embedding Gm3↪P3∖B$\mathbb {G}_m^3\hookrightarrow \mathbb {P}^3\setminus B$ implies that B$B$ has coregularity zero. In this article, we initiate the classification of coregularity zero semi log canonical (slc) quartic surfaces B⊂P3$B\subset \mathbb {P}^3$ for ...
Eduardo Alves da Silva +2 more
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On birational automorphisms of double EPW‐cubes
Mathematische NachrichtenAbstractWe give a classification of finite groups of symplectic birational automorphisms on manifolds of ‐type with stable cohomological action. We describe the group of polarized automorphisms of a smooth double EPW‐cube. Using this description, we exhibit examples of projective hyperkähler manifolds of –type of maximal Picard rank with a symplectic ...
Simone Billi +2 more
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